Step-by-step explanation:
hope this helps dear
it forms a right angle triangle I guess ☆☆
Answer:
x = -3
Step-by-step explanation:
Okay, the first thing to do is get that 8 away from the fraction. How can we do it? When you have 2³ you have 8, is the same thing, so let's do it:
2³⁰/(2³)⁹ = 2^x
When you have a number with the shape (a^x)^y, you can write it as a^(x•y), so:
(2³)⁹ = 2^3•9 = 2²⁷
Now we have:
2³⁰/2²⁷ = 2^x
When you have a division like this: (a^x)/(a^y), you can write it as a^(x-y), so:
2^(30-27) = 2^x
2^-3 = 2^x
Now you know that x = -3
K so a translation of 2 units up is just adding 2 to the end of the equation, and a vertical compression of 1/3 means dividing the slope by 3:
so your equation goes from
f(x)=6x (compresses to)
2x (add 2 for the translation)
g(x)=2x+2
Hope this helped.
we have the inequality

step 1
Find out the first solution (positive case)

The first solution is all real numbers less than or equal to 1.20
Interval (-infinite,1.20]
step 2
Find out the second solution (negative case)

Multiply by -1 both sides

The second solution is all real numbers greater than or equal to -2.8
the interval [-2.8, infinite)
step 3
Find out the solution to the given inequality
The solution is
[-2.8, infinite) ∩ (-infinite,1.20]=[-2.8,1.20]
the solution is the interval [-2.8,1.20]
see the attached figure to better understand the problem